12977220116160 has 448 divisors, whose sum is σ = 46484125309440. Its totient is φ = 3407468359680.

The previous prime is 12977220116101. The next prime is 12977220116177. The reversal of 12977220116160 is 6161102277921.

12977220116160 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 7 + 2 + 20 + 1 + 1 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2211897547 + ... + 2211903413.

It is an arithmetic number, because the mean of its divisors is an integer number (103759208280).

Almost surely, 2^{12977220116160} is an apocalyptic number.

12977220116160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12977220116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23242062654720).

12977220116160 is an abundant number, since it is smaller than the sum of its proper divisors (33506905193280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12977220116160 is a wasteful number, since it uses less digits than its factorization.

12977220116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9781 (or 9765 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 12977220116160 in words is "twelve trillion, nine hundred seventy-seven billion, two hundred twenty million, one hundred sixteen thousand, one hundred sixty".